Math Problem Statement
Find the square root of 3250
Solution
To find the square root of 3250, we can proceed by breaking it down into its prime factors and simplifying it.
Step-by-step Solution:
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Prime Factorization of 3250:
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Simplifying the Square Root:
Since we have inside the square root, we can take it out:
Simplifying further:
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Calculating the Approximate Value:
We can use a calculator to find the approximate square root of 130:
Therefore,
Conclusion:
Would you like more details, or do you have any questions?
Related Questions:
- How do you simplify square roots involving prime factorization?
- What are the properties of square roots for multiplication and division?
- How do you approximate square roots without a calculator?
- What is the square root of a non-perfect square?
- How do you solve quadratic equations involving square roots?
Tip:
To simplify square roots, look for perfect square factors that you can take out of the square root!
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Math Problem Analysis
Mathematical Concepts
Square Roots
Prime Factorization
Simplification
Formulas
Square root formula: √(a × b) = √a × √b
Theorems
Properties of Square Roots
Prime Factorization Theorem
Suitable Grade Level
Grades 8-10